Answer:
X=1.132589
Step-by-step explanation:
If im correct the answer would be x=1.132589
3
x2−1
−2(x+3)=
5
x+1
3
(x+1)(x−1)
+−2x−6=
5
x+1
Multiply all terms by (x+1)(x-1) and cancel:
3+(−2x−6)(x+1)(x−1)=5(x−1)
−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)
−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)
−2x3−6x2−3x+14=0
(Use cubic formula)
x=1.132589
And dont forget to check your answer
Answer:
x=15
Step-by-step explanation:
Supplementary angles are two angles that equal the sum of 180 degrees.
Take 4x and 8x and make it equal to 180
4x+8x=180
Add like terms:
12x=180
Divide:
x=15
To check:
Plug in 15 to both expressions
4(15)=60
8(15)=120
Add them up and they equal 180 degrees
Hope this helps! :)
Answer:
(a) 
(b) Domain:
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given



Solving (a): A function; l in terms of w
All we need to do is make l the subject in 
Divide through by 2

Subtract w from both sides


Reorder

Solving (b): The graph
In (a), we have:

Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be 
--------------------------------------------------------------------------------------------------
To check this
When 



When 


--------------------------------------------------------------------------------------------------
<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:

Writing l as a function, we have:

Substitute
for l in 
becomes

Answer: root of 18
9+9=x^2
18=x^2
x = 3 root of 2 or root of 18
Y=6x+1
y=6(5)+1
y=30+1
y=31
D. (5, 31)
hope this helps!